To find the volume multiply all 3 numbers together.
2 1/2 x 1 1/2 = 3 3/4
3 3/4 x 3 = 11 1/4
The volume is 11 and 1/4 cubic units
Answer: See the graph attached.
Step-by-step explanation:
1. To solve this exercise you must plot the points given in the table of the problem, which are shown below:
(-4,1), (0,2), (3,3)
2. You must plot the first value of each ordered pair on the x-axis.
3. You must plot the second value of each ordered pair on the y-axis.
4. Therefore, when you plot them, you obtain the graph shown attached.
The value of P(R = 3) is 0.2854
<h3>Probability</h3>
Probabilities are used to determine the chances of events.
The given parameters are:
--- the number of slots
. --- the number of red slot
. --- the number of black slot
. --- the number of green slot
<h3>Individual probabilities</h3>
The probability that the ball lands on a red slot is calculated as:

Simplify

The probability that the ball does not land on a red slot is calculated as:


Simplify

<h3>
Binomial probability</h3>
The value of P(R = 3) is then calculated using the following binomial probability formula

Where:


So, we have:



Hence, the value of P(R = 3) is 0.2854
Read more about probabilities at:
brainly.com/question/15246027
ANSWER
Vertical asymptote:
x=1
Horizontal asymptote:
y=1
EXPLANATION
The given rational function is




The vertical asymptote occurs at


The vertical asymptotes is x=1
The degree of the numerator is the same as the degree of the denominator.
The horizontal asymptote of such rational function is found by expressing the coefficient of the leading term in the numerator over that of the denominator.

y=1